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13496520 = 2335472393
BaseRepresentation
bin110011011111…
…000011001000
3221101200202010
4303133003020
511423342040
61201135520
7222501312
oct63370310
927350663
1013496520
117689154
12462a5a0
132a4720b
141b147b2
1512b8e80
hexcdf0c8

13496520 has 64 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3521024.

The previous prime is 13496507. The next prime is 13496533. The reversal of 13496520 is 2569431.

13496520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13496507) and next prime (13496533).

It is a super-2 number, since 2×134965202 = 364312104220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4444 + ... + 6836.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 213496520 is an apocalyptic number.

13496520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13496520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

13496520 is an abundant number, since it is smaller than the sum of its proper divisors (27871800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13496520 is a wasteful number, since it uses less digits than its factorization.

13496520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13496520 is about 3673.7610156351. The cubic root of 13496520 is about 238.0896962012.

The spelling of 13496520 in words is "thirteen million, four hundred ninety-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2393 2820 4786 5640 7179 9572 11965 14358 19144 23930 28716 35895 47860 57432 71790 95720 112471 143580 224942 287160 337413 449884 562355 674826 899768 1124710 1349652 1687065 2249420 2699304 3374130 4498840 6748260 13496520